What is the value of f(G(f(1, 0)), f(F(f(1, 2)), G(f(1, 2))))?
Explanation:
f (x,y) = |x + y| This is always positive F(f (x,y)) = − f (x,y) = −|x + y| This is always negative G(f (x,y)) = − F(f (x,y)) = − (−|x + y|) = |x + y| This is always positive.
ƒ(G(ƒ(1, 0)), ƒ(F (ƒ(1,2)), G(ƒ(1, 2)))) = ƒ(G(ƒ(1, 0)), ƒ(3, − 3)) = ƒ(G(ƒ(1, 0)), 0) = ƒ(−1, 0) = 1.
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